I wouldn’t assume there aren’t restrictions in this line on the way to the pan. Like possibly a check valve to keep the fluid from draining into the pan when shut down and being replaced with an air bubble.
Some of the fluid exchange machines actually have a large reservoir with a bladder inside, clean fluid on one side, and the port from your transmission line on the other. As your trans forces dirty fluid in, this pushes the diaphragm over which forces clean fluid back into the line into the pan. But it ultimately relies on the fluid flowing out of the trans for pressure.
Plus even if there weren’t restrictions.. it’s slow enough using a funnel and relatively large line into the fill port. Seems to me a gravity feed through 10mm ID line would take forever.